Mixing time for a random walk on rooted trees (Q2380305)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mixing time for a random walk on rooted trees |
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Mixing time for a random walk on rooted trees (English)
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26 March 2010
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Summary: We define an analog of Plancherel measure for the set of rooted unlabeled trees on \(n\) vertices, and a Markov chain which has this measure as its stationary distribution. Using the combinatorics of commutation relations, we show that order \(n^2\) steps are necessary and suffice for convergence to the stationary distribution.
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